AbstractIn this paper we characterize linear mapsϕbetween two nest algebras T(N) and T(M) which satisfy the property thatϕ(AB−BA)=ϕ(A)ϕ(B)−ϕ(B)ϕ(A) for allA, B∈T(N). In particular, it is shown that such isomorphisms only exist if N is similar to M or M⊥
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann ...
AbstractNest algebras are the natural analogues of upper triangular matix algebras in an infinite di...
AbstractIn this paper we characterize linear mapsϕbetween two nest algebras T(N) and T(M) which sati...
AbstractWe show that a Lie isomorphism ψ between nest algebras on Banach spaces can be decomposed as...
AbstractWe show that a Lie isomorphism ψ between nest algebras on Banach spaces can be decomposed as...
Let $\mathscr{N}_1$ (resp. $\mathscr{N}_2$) be a nest, $A$ (resp. $B$) be the corresponding nest alg...
AbstractIn this paper, it is proved that every surjective linear map preserving identity and zero pr...
AbstractIn this article we classify linear maps ϕ from the algebra Tn of n × ? upper triangular matr...
AbstractIn this paper, we characterize rank-1 preserving linear maps between nest algebras acting on...
In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or...
AbstractIt is shown that every ring isomorphism between norm closed standard subalgebras of nest alg...
AbstractLet A be a triangular algebra. The problem of describing the form of a bilinear map B:A×A→A ...
AbstractThe algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β ...
AbstractIn this paper, we prove that every bijective map preserving Lie products from a factor von N...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann ...
AbstractNest algebras are the natural analogues of upper triangular matix algebras in an infinite di...
AbstractIn this paper we characterize linear mapsϕbetween two nest algebras T(N) and T(M) which sati...
AbstractWe show that a Lie isomorphism ψ between nest algebras on Banach spaces can be decomposed as...
AbstractWe show that a Lie isomorphism ψ between nest algebras on Banach spaces can be decomposed as...
Let $\mathscr{N}_1$ (resp. $\mathscr{N}_2$) be a nest, $A$ (resp. $B$) be the corresponding nest alg...
AbstractIn this paper, it is proved that every surjective linear map preserving identity and zero pr...
AbstractIn this article we classify linear maps ϕ from the algebra Tn of n × ? upper triangular matr...
AbstractIn this paper, we characterize rank-1 preserving linear maps between nest algebras acting on...
In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or...
AbstractIt is shown that every ring isomorphism between norm closed standard subalgebras of nest alg...
AbstractLet A be a triangular algebra. The problem of describing the form of a bilinear map B:A×A→A ...
AbstractThe algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β ...
AbstractIn this paper, we prove that every bijective map preserving Lie products from a factor von N...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann ...
AbstractNest algebras are the natural analogues of upper triangular matix algebras in an infinite di...
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